The value of t in terms of one of the trigonometric functions is t = 3 radians. The value of t for r = 4 and 0 radians is 0.
Part A:
Given that r = 3, we need to find the value of t in terms of one of the trigonometric functions. Since we are given the radius of the circular path, we can use the definition of a radian. The distance traveled along a circular path is equal to the radius multiplied by the angle in radians. So, if r = 3 and A0 = t, we can write the equation as 3 = t radians. Therefore, the value of t in terms of one of the trigonometric functions is t = 3 radians.
Part B:
To find the value of t for r = 4 and 0 radians, we can use the same concept as in Part A. We know that the distance traveled along a circular path is equal to the radius multiplied by the angle in radians. So, if r = 4 and A0 = 0 radians, we can write the equation as s = 4 * 0. Substitute known values to get s = 0. Therefore, the value of t for r = 4 and 0 radians is 0.